 | William Emerson - Mathematics - 1763 - 266 pages
...hi ammeter HF. For no two-lines on the fame fide can be equal. • Cor. 2. If from any paint, three equal right lines can be drawn to the circumference ; that point is the tenter, C. Cor. 3. No circle can cut another in more than two points. E г For FIG. For then three... | |
 | Euclid - 1822 - 222 pages
...lines can be drawn to the circumference of a circle. PROP. IX. THEOR. If a point be taken within d circle, from which more than two equal right lines...if it were a point different from the centre, only (i) Prap.i. two equal right lines could be drawn from it to the £- 3circumference(l). PROP. X. THEOR.... | |
 | Rev. John Allen - Astronomy - 1822 - 516 pages
...diameter, and therefore unequal, by parts 2 and 4. PROP. IX. 1HEOR. If from any point within a circle, more than two equal right lines can be drawn to the...point is the centre of the circle. For if it were not the centre, only two equal right lines could be drawn from it to the circumference (7. 3), which... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...therefore unequal, by parts 2 and 4. • PROP. IX. THEOR. If from any point •within a circle, more titan two equal right lines can be drawn to the circumference,...point is the centre of the circle. For if it were not the centre, only two equal right lines could be drawn from it to the circumference (7. 3), which... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...from the same point, but greater than the external part of the secant. PROPOSITION IX. THEOREM. (338) If a point be taken within a circle, from which more...different from the centre, only two equal right lines can be drawn from it to the circumference (VIII). Thus the criterion for the determination of the centre... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...centre, from which three equal right lines can be drawn to the circumference of a circle. PROP. IX. THEOR. If a point be taken within a circle, from which...lines could be drawn from it to the circumference (1). (1) Prop. 7PROP. X. THEOR. One circle (BDF) cannot cut another (BLF) in more Fig. 14, 15, than... | |
 | Euclides - 1855 - 270 pages
...is the greatest. PROP. IX. THEOREM. If from a, point within a circle, more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. Let D be a point within the circle ABС, from which the equal straight lines DA, DB, and DС are drawn... | |
 | Olinthus Gregory - 1863 - 482 pages
...that are nearer the centre are greater than those that are farther off. 4. If from any point three equal right lines can be drawn to the circumference ; that point is the centre. 5. No circle can cut another in more than two points 6. There can only two equal lines be drawn from... | |
 | Āryabhaṭa - 1878 - 100 pages
...centre, they do not bisect each other.' 3. If from a point within d circle, more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. 4. If two circles intersect one another, the circumference of the one can not cut that of the other... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...greatest. PROP. IX. THEOREM. it from a potnt within a circle, more than two equal straight lines can bt drawn to the circumference, that point is the centre of the circle. Let D be a point within the circle ABC, from which the equal straight lines DA, DB, and DC are drawn... | |
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If from a point within a circle more than two equal straight lines can be drawn to the circumference, that point is the centre of the circle. 
